Open AccessLinear systems with hyperbolic zero dynamics admit output regulator rejecting unknown number of unknown sinusoids
Author(s) -
Kim Hyungjong,
Shim Hyungbo
Publication year - 2015
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2014.0692
Subject(s) - control theory (sociology) , zero (linguistics) , regulator , mathematics , dynamics (music) , computer science , control (management) , physics , artificial intelligence , philosophy , acoustics , linguistics , biochemistry , chemistry , gene
This study presents an off‐the‐shelf error feedback controller that can completely rejects the sinusoidal disturbances whose magnitudes, phases, bias, frequencies and even the number of frequencies are all unknown. A closed‐form solution is given under the assumptions that the plant has no uncertainty and has hyperbolic zero dynamics (i.e. there is no zero on the imaginary axis of the complex plane), and that the number of unknown frequencies has upper bound which is known. A non‐minimum phase plant can be dealt with. The proposed controller is tested by a simulation, which verifies its effectiveness.